Answer:
C. Multiplied
Step-by-step explanation:
A coefficient is a quantity placed before a variable to indicate how many times it has been multiplied.
Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then vertex is minimum
• If a < 0 then vertex is maximum
Given
y = x² + 6x + 10
(a)
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = x² + 2(3)x + 9 - 9 + 10
y = (x + 3)² + 1 ← in vertex form
(b)
Since a = 1 > 0 then vertex is a minimum
(c)
(h, k ) = (- 3, 1 ) ← coordinates of vertex
Find the distance between the pair of points.
(-1, -6) and (8, -7)
Answer:
9.06 units (3 s.f.)
Step-by-step explanation:
[tex]\boxed{distance \: between \: 2 \: points = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } }[/tex]
☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.
Distance between (-1, -6) and (8, -7)
[tex] = \sqrt{[- 7 - ( - 6)]^{2} + [8 - ( - 1)]^{2} } [/tex]
[tex] = \sqrt{ {( - 7 + 6)}^{2} + (8 + 1) {}^{2} } [/tex]
[tex] = \sqrt{( - 1)^{2} + {9}^{2} } [/tex]
[tex] = \sqrt{1 + 81} [/tex]
[tex] = \sqrt{82} [/tex]
= 9.06 units (3 s.f.)
3. Mr. Langley is painting the exterior of his house. He uses 7 1/2 gallons of paint for the surface
and 2/3 of a gallon of paint for the trim. He had estimated that he would use 11 gallons of paint. How
many gallons of paint was he away from his estimation?
The amount he estimated (11 gallons). 11 - 8.16 = 0.21 gallons.
What is estimation?Estimation is the process of making an educated guess about the value of something, such as a quantity, cost, or other measurement, based on the available information. It's used in many fields, including mathematics, engineering, economics, business, and project management. Estimation is an important skill which can help people make decisions and solve problems quickly.
Mr. Langley was away from his estimation by 0.21 gallons of paint. This is calculated by subtracting the total amount of paint he actually used (7.5 + 0.66 = 8.16 gallons) from the amount he estimated (11 gallons). 11 - 8.16 = 0.21 gallons.
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A triangle has side lengths of 5 units, 11 units and 6 units. Tell whether the triangle is a right triane
Answer:
triangle isn't right angled
Step-by-step explanation:
For a right tangled triangle :
Length of the longest side, hypotenus is given by :
Hypotenus = √(opposite² + adjacent ²)
From.the question :
Hypotenus = 11
Opposite and adjacent = 5 units and 6 units
Let's test :
Hypotenus = √(5² + 6²)
Hypotenus = √(25 + 36)
Hypotenus = √61 units
Hypotenus = 7.8
Hypotenus for a right angled triangle = 7. 8 units and not 11.
Hence, triangle isn't right angled
Skyler goes
to a school which has 1000 students in it.
She asks 40 random students whether they like the new 8.30 am start to the day.
30 of them say 'no' they do not like it.
Use this information to estimate how many students in the whole school
dislike the 8.30 am start.
Answer:
750
Step-by-step explanation:
30/40 students dislike it from the sample, so 0.75
1000 x 0.75 = 750
n
If a new data point at 12 is added to the graph, which
will be true?
1
2
3
4
5
6.
7
8
9
10 11 12 13
The mean will increase, and the median will stay the
same,
O The median will increase, and the mean will stay the
same
The mean will increase more than the median, but
both will increase.
The median will increase more than the mean, but
both will increase
Answer: C) The mean will increase more than the median, but both will increase.
Step-by-step explanation:
I got it right already! :)
The solution is, The mean will increase more than the median, but both will increase.
[third option listed]
What is median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
here, we have,
the median of a data set is the number in the middle [when listed from lowest to highest in value]
1 2 3 4 5 6 7 8 9 10 11 12 13
is the current median
let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)
1 2 3 4 5 6 7 8 9 10 11 12 12 13
[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]
so, 7.5 is the current median
(this is an increase of 0.5)
the mean of a data set is what we commonly refer to as the "average"
[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]
1 2 3 4 5 6 7 8 9 10 11 12 13
mean of original data set:
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]
_______________________________________
13
[91 ÷ 13 = 7]
because our number is greater than our original mean [12 > 7], we know that the mean must increase:
[91 + 12 = 103]
[103 ÷ 14 ≈ 9.36]
[we had an increase of 2.36]
so, median increased by 0.5, mean increased by 2.36
so, both values increased, whilst the mean increased by more than the median [as to be expected]
so, we get,
"The mean will increase more than the median, but both will increase." [third option listed]
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please help me
answer keys
A. m^10
B. 3m^10
C. m^9
D. 3m^9
Answer:
a. [tex]m^{10}[/tex]
Step-by-step explanation:
helpp me ASAP please i need it
Answer:
No.
Step-by-step explanation:
No because the dot is not in the area where BOTH red AND blue cover. It is only in the red area, not in BOTH red AND blue.
5% of 12 is what number?
I will give brainliest!!!!!
Answer:
5% × 12 = ?
5% × 12 =
(5 ÷ 100) × 12 =
(5 × 12) ÷ 100 =
60 ÷ 100 =
0.6
Step-by-step explanation:
can i have b
Answer:
0.6
Step-by-step explanation:
To find 10% of something, you move the decimal point to the left one space. We now have 1.2 = 10%. You can divide this by two to find 0.6, which would equal 5% of 12.
Hope this helps! Have a nice day :)
40% of x is 35.
X=?
Step-by-step explanation:
0.40x = 35 ---> x = (35 /0.40) = 87.5
Hape a and hape b are each made from five identical quare
The perimeter of hape a i 60 cm
work out the perimeter of hape b
50 cm is the required perimeter of shape B.
What is the perimeter?A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.
A circle's or an ellipse's circumference is referred to as its perimeter.
There are numerous uses in real life for perimeter calculations.
We must sum up the lengths of the rectangle's four sides in order to get its perimeter.
So, according to the given figures:
Shape A's circumference is 60 cm.
Let x cm be the length of each square.
The total length of shape A's free bounds is equal to 12x.
Consequently, 12x = 60.
x = 5 cm
Currently, the length surfaces of form B equal 10x.
Shape B's perimeter equals 10x.
= 10(5)
= 50 cm
Therefore, 50 cm is the required perimeter of shape B.
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Correct question:
Shape A and Shape B are each made from 5 identical squares.
The perimeter of shape A is 60cm. Work out the perimeter of Shape B
help! thanks !!! asap tho-
The unit rate of change of the proportional relationship is given as follows:
2.25.
The graph of the proportional relationship is given by the image presented at the end of the answer.
What is a proportional relationship?A proportional relationship is a linear function with an intercept of zero modeled as follows:
y = kx.
In which k is the constant of proportionality.
The input and output variables for this problem are given as follows:
Input variable x: cups of sugar.Output variable y: cups of flour.The constant k, representing the unit rate, is obtained by the division of the output of the input from the table, hence:
k = 4.5/2 = 6.73/3 = 9/4 = 2.25.
Meaning that the function is defined as follows:
y = 2.25x.
The function is graphed for a domain of x ≥ 0, as the number of cups of sugar must be a countable, non-negative amount.
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3x+2y=2 in slope intercept form!!!
Answer:
[tex] \displaystyle{ y= - \dfrac{ 3}{2} x+ 1}[/tex]
Step-by-step explanation:
Slope-intercept is in form of y = mx + b where m is slope and b is y-intercept. We simply solve for y in term of x and then we will obtain the slope-intercept form.
Given the linear equation:
[tex] \displaystyle{3x + 2y = 2}[/tex]
First, subtract both sides by 3x:
[tex] \displaystyle{3x + 2y - 3x= - 3x + 2} \\ \\ \displaystyle{2y = - 3x + 2}[/tex]
Then divide both sides by 2:
[tex] \displaystyle{ \dfrac{2y}{2} = \dfrac{ - 3x + 2}{2}} \\ \\ \displaystyle{ y = \dfrac{ - 3x + 2}{2}}[/tex]
Separate fractions (Simplify):
[tex] \displaystyle{ y= \dfrac{ - 3x}{2} + \dfrac{2}{2}} \\ \\ \displaystyle{ y= - \dfrac{ 3}{2} x+ 1}[/tex]
And we have finally converted the equation to slope-intercept form.
exponens
question in the image below
Answer:
Step-by-step explanation:
3n3
we have to combine like terms
n5-n2 is n3 (dividing exponents means subtracting)
this could be 1/3 n3 or 3 n3
Calculate the area of the parallelogram, in m2
Answer:
20
Step-by-step explanation:
Answer:
600
Step-by-step explanation:
plz help I put 25 ponts
Answer:
what do you need there's no image or question
Answer:
answer is yes points thanks
Step-by-step explanation:
The owner of two local restaurants has decided to randomly sample customers and gather feedback from the customers regarding the restaurants' cleanliness, service, and food quality. Over the course of five nights, five customers from each restaurant are randomly asked to fill out a survey, rating the restaurant on the three categories and using a scale from 1 to 5. A rating of 1 represents a very poor customer experience, and a rating of 5 represents an excellent customer experience. After five nights, the restaurant owner organizes and records the data, making a table for each restaurant.
Restaurant A
Cleanliness Service Food Quality
4, 3, 5, 4, 3, 4, 5, 4, 4, 2, 1, 4, 1, 2, 3, 2, 3, 2, 2, 5, 4, 4, 3, 5, 4 1, 5, 2, 1, 5, 1, 2, 5, 4, 4, 3, 1, 3, 4, 5, 3, 5, 4, 2, 1, 5, 4, 1, 1, 3 5, 4, 1, 1, 3, 5, 3, 3, 3, 4, 4, 1, 3, 3, 4, 5, 4, 2, 3, 5, 2, 4, 3, 2, 1
Restaurant B
Cleanliness Service Food Quality
4, 4, 2, 1, 4, 4, 2, 3, 5, 1, 5, 3, 2, 2, 2, 3, 1, 2, 2, 4, 2, 2, 3, 2, 2 3, 2, 4, 5, 3, 3, 2, 5, 3, 5, 1, 3, 1, 3, 1, 2, 4, 3, 3, 2, 4, 4, 1, 3, 5 1, 3, 3, 4, 5, 4, 2, 3, 5, 2, 4, 3, 2, 4, 4, 4, 1, 2, 5, 5, 5, 3, 5, 4, 1Calculate the mean absolute deviation of the Restaurant A's service ratings. [Note: Type your answer as a number. Do not round.]
MAD =
help please
Answer:
1.36
1. Find the mean of all values. (3)
2. Find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)
3. Find the mean of those distances.
Answer:1.36
Step-by-step explanation:
Determine if the quadrilateral is a parallelogram. Using a complete sentence, explain why or why not.
Answer:
It is
Step-by-step explanation:
Parralel Lines. Since they have the same opposite angles, they will never touch, being parallel
solve the system:
2x+5y=24
x=y+5
Answer:
(x,y) = (7,2)
Step-by-step explanation:
Hope it helps
Alyssa has 5 kg bag of cat food. If she uses 25 g of food for each meal, how many meals can she feed her cat with the bag of food?
Uncle Drew scored 28 points in 5 5/6 minutes during a game of basketball. How many points did he average per minute during that 5 5/6 minutes?
Answer:
He scored an average of 4.8 points per minute.
Which expression is equivalent to –3 – 3x – 1 x? 2x – 4 –2x 4 –2x – 4? 4 – 2x
The expression equivalent to -3 - 3x -1x is 4 - 2x.
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.
To get to this you can combine like terms:
-3 - 3x - 1x = -3 - (3x + 1x)
= -3 - (4x)
= -3 - 4x
= -4x - 3
= 4 - 2x
Hence 4 - 2x is equivalent to -3 - 3x -1x
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please help where do i put it on the graph
Answer:
(0,5),(2,6) these are the coordinates of the line.
Step-by-step explanation:
I hope this helps.
help me with this math question please I'm giving away brainliests
Answer:the blue one
Step-by-step explanation:
Find the value of the six trigonometric function for the angle in standard position determined by the point (-1,2)
Step-by-step explanation:
x= -1
y= 2
r = √(-1)²+2² =√1+4=√5
sin a = 2/√5
cos a = -1/√5
tan a = 2/-1= -2
sec a = √5/-1 =-√5
csc a = √5/2
cot a = -1/2
AYUDAAAAAAAAAAAAAAAAAAAAAAAAAAAAA PLIS
Answer:
es difícil verdad amigo
Please help!!!
I will mark the person brainliest who answers with an actual correct answer
Please help!!!
Due soon!!
Answer choices below:
A. (-2,4) and (11,-7)
B. (6,5) and (6,7)
C. (3,3) and (6,3)
D. (1,1) and (6,7)
Answer:
A.(-2,4) and (11,-7) ...
I hope I'm correct
PLEASE FAST MY GRADE IS A 71 A F AND THE REPORT CARDS ARE TOMMOROW PLEASE HELP ME NOT GETTING A WHOOPEN.
Answer:
Option A
Step-by-step explanation:
Min: 72
Q1: 83
Median: 89
Q3: 92
maximum: 94
A survey found the following number of pets in different households.
4, 1, 0, 2, 1, 3, 1
What is the mean absolute deviation for the number of pets?
Therefore , the solution to the given problem of mean comes out to be the sample size yields the equivalent number of households is 30.
What is mean?Regardless of whether many elements are discrete or continuous, averages can only be calculated for numeric variables. You may find this by dividing the total number of values in the dataset by the total number of values in the dataset. It is possible to perform computations using either raw data or data that has been compiled into frequency tables. The average value in mathematics is obtained by adding up all the numbers in a set of data and dividing the total by the total number of numbers.
Here,
Given:
Mean = 2
Four pets are two standard deviations away from the mean, and one standard deviation equals one pet.
We can determine that at least
100 (1-1k2)% = 100 (1-1/4)% = 75%
is within 2 standard deviations of the mean using Chebyshev's Rule with
k = 2.
The percentage times the sample size yields the equivalent number of households:
=> 75% x 40 = 30
Therefore , the solution to the given problem of mean comes out to be the sample size yields the equivalent number of households is 30.
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Yesterday the temperature at noon was 11.4 f . By midnight the temperature had decreased by 15.7 degrees. What was the temperature at midnight ?
Answer:
-4.3
Step-by-step explanation:
It is asking for the temperature at midnight so to find out what it is. We simply subtract the starting temperature of 11.4f from 15.7 degrees
( 11.4 - 15.7 ). That would leave us with -4.3f at night.